a car salesman sells cars with prices ranging from $5,000 to $45,000. the histogram shows the distribution…

a car salesman sells cars with prices ranging from $5,000 to $45,000. the histogram shows the distribution of the numbers of cars he expects to sell over the next 10 years.\nthe salesman has observed that many students are looking for cars that cost less than $5,000. if he decides to also deal in cars that cost less than $5,000 and projects selling 200 of them over the next 10 years, how will the distribution be affected?\na. the mean will shift to the right.\nb. the mean and the median will be the same.\nc. the median will shift to the right.\nd. the mean will shift to the left.

a car salesman sells cars with prices ranging from $5,000 to $45,000. the histogram shows the distribution of the numbers of cars he expects to sell over the next 10 years.\nthe salesman has observed that many students are looking for cars that cost less than $5,000. if he decides to also deal in cars that cost less than $5,000 and projects selling 200 of them over the next 10 years, how will the distribution be affected?\na. the mean will shift to the right.\nb. the mean and the median will be the same.\nc. the median will shift to the right.\nd. the mean will shift to the left.

Answer

Explanation:

Step1: Understand the effect of new data

Adding cars priced less than $5,000 (lower - priced data points) to the data set.

Step2: Recall the concept of mean

The mean is the sum of all data values divided by the number of data values. Lower - priced cars will decrease the sum of all prices relative to the number of cars, thus lowering the mean.

Step3: Recall the concept of median

The median is the middle value when data is ordered. Adding lower - priced cars will not necessarily keep the median in the same position or shift it to the right. It is more likely to shift the median to the left as well, but the main effect is on the mean.

Answer:

D. The mean will shift to the left.